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Simplifying b(5b2 + 34b) = 0 Reorder the terms: b(34b + 5b2) = 0 (34b * b + 5b2 * b) = 0 (34b2 + 5b3) = 0 Solving 34b2 + 5b3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), 'b2'. b2(34 + 5b) = 0Subproblem 1
Set the factor 'b2' equal to zero and attempt to solve: Simplifying b2 = 0 Solving b2 = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b2 = 0 Take the square root of each side: b = {0}Subproblem 2
Set the factor '(34 + 5b)' equal to zero and attempt to solve: Simplifying 34 + 5b = 0 Solving 34 + 5b = 0 Move all terms containing b to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 5b = 0 + -34 Combine like terms: 34 + -34 = 0 0 + 5b = 0 + -34 5b = 0 + -34 Combine like terms: 0 + -34 = -34 5b = -34 Divide each side by '5'. b = -6.8 Simplifying b = -6.8Solution
b = {0, -6.8}
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